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Finding the Fourth Proportional to 34,518.86, 47,643.90 and 24,436.82

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Solution

The fourth proportional to 34,518.86, 47,643.90 and 24,436.82 is: 33,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,518.86 : 47,643.90 = 24,436.82 : x
  2. Step 2: Convert to fraction form
    34,518.86/47,643.90 = 24,436.82/x
  3. Step 3: Cross multiply
    34,518.86x = 47,643.90 × 24,436.82
  4. Step 4: Simplify right side
    34,518.86x = 1,164,265,408.40
  5. Step 5: Solve for x
    x = 1,164,265,408.40/34,518.86
  6. Step 6: Final answer
    x = 33,728.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.